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Finding the Third Proportional to 170,018 and 230,082

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Solution

The third proportional to 170,018 and 230,082 is: 311,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,018 : 230,082 = 230,082 : x
  2. Step 2: Convert to fraction form
    170,018/230,082 = 230,082/x
  3. Step 3: Cross multiply
    170,018x = 230,082 × 230,082
  4. Step 4: Simplify right side
    170,018x = 52,937,726,724
  5. Step 5: Solve for x
    x = 52,937,726,724/170,018
  6. Step 6: Final answer
    x = 311,365.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.